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Transport damping by fluctuations and cluster-type expansions in kinetics

  • Gases and Fluids
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Abstract

A mechanism of transport damping by fluctuations is proposed and analyzed in detail for the thermal diffusivity of a one-dimensional gas in the case when the externally induced temperature gradient is weaker than fluctuating gradients. Thermal diffusivity is calculated as a function of parameters of a one-dimensional gas characterized by a homogeneous potential of interaction between particles: for the potential V(x)=Q/|x|k, thermal diffusivity is χ ∼ (Qn k/T)1/(k−1)νT/n. The nonanalytic form of thermal diffusivity as a function of concentration is elucidated. The nonanalytic behavior of thermal diffusivity as a function of concentration is explained by a nontrivial symmetry of the problem under analysis at long times, after the initial fluctuations have dissipated. It is shown that spontaneous generation of macroscopic structures developing through selective growth of fluctuations of a certain type in a medium with an externally induced temperature gradient controls the transport properties of the medium when k≈1.

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Authors and Affiliations

  1. Institute of Space Research, Russian Academy of Sciences, ul. Profsoyuznaya 84/32, GSP-7, Moscow, 117810, Russia

    S. N. Gordienko & S. S. Moiseev

Authors
  1. S. N. Gordienko
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  2. S. S. Moiseev
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__________

Translated from Zhurnal Tekhnichesko\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l} \) Fiziki, Vol. 70, No. 2, 2000, pp. 20–27.

Original Russian Text Copyright © 2000 by Gordienko, Moiseev.

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Gordienko, S.N., Moiseev, S.S. Transport damping by fluctuations and cluster-type expansions in kinetics. Tech. Phys. 45, 161–167 (2000). https://doi.org/10.1134/1.1259590

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  • DOI: https://doi.org/10.1134/1.1259590

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